481952 has 12 divisors (see below), whose sum is σ = 948906. Its totient is φ = 240960.

The previous prime is 481939. The next prime is 481963. The reversal of 481952 is 259184.

It can be written as a sum of positive squares in only one way, i.e., 355216 + 126736 = 596^2 + 356^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481952.

It is an unprimeable number.

481952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7499 + ... + 7562.

2⁴⁸¹⁹⁵² is an apocalyptic number.

It is an amenable number.

481952 is a deficient number, since it is larger than the sum of its proper divisors (466954).

481952 is a wasteful number, since it uses less digits than its factorization.

481952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15071 (or 15063 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 481952 is about 694.2276283756. The cubic root of 481952 is about 78.4033456853.

The spelling of 481952 in words is "four hundred eighty-one thousand, nine hundred fifty-two".